AN ANALYTICAL SOLUTION FOR THE ELECTROMAGNETIC OSCILLATIONS CAUSED BY A RECTANGULAR PULSE IN A CAVITY WITH LOSSY WALLS

Year 2021, Volume: 17 Issue: 2, 413 - 428, 08.11.2021

Fatih Erden , Ayşe Yavuz Erkan , Ahmet Arda Çoşan , Serkan Aksoy

Abstract

The purpose of this study is analytical studying Initial-Boundary-Value Problem for the novel format of Maxwell’s equations in SI units. A modified version of the Evolutionary Approach to Electromagnetics (EAE) used herein. The problem is considered for the causal electromagnetic oscillations excited by a given external rectangular pulse signal, J (r, t) , in a hollow cavity with lossy metallic walls. The cavity volume V is finite and closed by a singly connected surface S with none of its inner angles exceeds . Physically, cavity walls are lossy (completely or partially). Graphical results are exhibited demonstrating that the electromagnetic oscillations inside the cavity with metallic surface satisfy the causality principle.

Keywords

Maxwell, Time-domain Electrodynamics, Cavity, Evolutionary Equations, Matrix Exponentials

Supporting Institution

TÜBİTAK

Project Number

120E390

Thanks

The authors are thankful to Prof. O. A. Tretyakov, advisor to the project, for his suggestions and recommendations on the manuscript.

KAYIPLI YÜZEYLERE SAHİP BİR KAVİTEDEKİ DİKDÖRTGEN DARBE KAYNAKLI ELEKTROMANYETİK OSİLASYONLAR İÇİN BİR ANALİTİK ÇÖZÜM

Abstract

Bu çalışmanın amacı, SI birim sisteminde yeniden yazılmış Maxwell denklemlerine ilişkin başlangıç-sınır-değer problemine analitik bir çözüm sunmaktır. Çalışmada Elektromanyetik Teoriye Evrimsel Yaklaşım’ın modifiye edilmiş bir versiyonu kullanılmıştır. Problem, kayıplı metalik yüzeylere sahip boş bir kaviteye verilen dikdörtgen  J (r, t) darbe sinyalleri, tarafından uyarılan nedensel elektromanyetik osilasyonlar için düşünülmüştür. Kavite hacmi, V, sonludur ve S yüzeyinin iç açılarından hiçbirinin π 'den büyük olmadığı pürüzsüz bir S yüzeyiyle kapatılmıştır. Fiziksel olarak yüzey (tamamen ya da kısmen) kayıplıdır. Kayıplı yüzeylere sahip kavite içerisindeki elektromanyetik osilasyonların nedensellik prensibini sağladığını gösteren grafiksel sonuçlar sergilenmiştir.

Keywords

Maxwell Denklemleri, Zaman Uzayı Elektrodinamiği, Kavite, Evrimsel Denklemler, Matris Eksponansiyeller

Project Number

120E390

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